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QUEUING THEORY Questions with correct Answers
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QUEUING THEORY Questions with correct Answers Kendall Notation: - Developed to allow the key characteristics of a specific queuing model to be described in an efficient manner. - Simple queuing models can be described by there parameters in the following general format: 1 / 2 / 3 M / M /...

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  • August 8, 2024
  • 4
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

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  • queuing theory questions with correct answers
  • kendall notation developed to allow the key cha
  • m m 1 queue refers to a queuing model in which
  • m g 3 queue refers to a model in which the in

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QUEUING THEORY Questions with
correct Answers
Kendall Notation: - answer - Developed to allow the key characteristics of a specific
queuing model to be described in an efficient manner.
- Simple queuing models can be described by there parameters in the following general
format:
1/2/3

M / M / 1 queue refers to a queuing model in which : - answer - The time between
arrivals follows an exponential distribution
- The service times follow an exponential distribution
- There is one server

M / G / 3 queue refers to: - answer A model in which the interarrival times are
assumed to be exponential, the service times follow some general distribution, & three
servers are present.

T or F : Random service times from an exponential distribution can assume any positive
value. - answer TRUE

Queue : - answer - a waiting line

Queuing Theory : - answer - body of knowledge dealing with waiting lines

M / M / s model is appropriate for analyzing queuing problems when these specific
assumptions are met: - answer Assumptions:
- There are s servers, where s is a positive integer
- Arrivals follow a Poisson distribution and occur at an average rate of l per time period.
- Each server provides service at an average rate of u per time period, and actual
service times follow an exponential distribution.
- Arrivals wait in a single FIFO queue and are serviced by the first available server.
-l<su

Results for the M / M /s models assume that: - answer The size or capacity of the
waiting area is infinite, so that all arrivals to the system join the queue and wait for
service.

If the arrival rate exceeds the system's total service capacity, then : - answer The
system would fill up over time, and the queue would become infinitely long.
** queue will also become infinitely long even if the average arrival rate is equal to the
average service rate s u

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